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3 years ago

What is 18x^2-51x+21=0

Mathematics

2 answers:

Andrew [12]3 years ago

7 0

Hope this helps you.

timama [110]3 years ago

6 0

The answer is x = 7/3 , 1/2

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Mr. Lee left his fortune to his 3 sons, 4 daughters and his wife. Each son received twice as much as each daughter and his wife

ivolga24 [154]

Hey there! :)

Answer:

$3600.

Step-by-step explanation:

If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:

1/4x = 6000

Multiply both sides by 4:

x = $24000

We can begin by subtracting the wife's amount from the total:

24000 - 6000 = $18000

He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.

18000 = 3(2x) + 4(x)

Distribute and combine the terms:

18000 = 6x + 4x

18000 = 10x

Divide both sides by 10:

18000/10 = 10x/10

x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':

2(1800) = $3600.

6 0

3 years ago

What is -r-10r combine like terms

goldfiish [28.3K]

-r -10r

fractor out -r

-r(1 +10)

-r(11)

-11r

Answr: -11r

3 0

3 years ago

Read 2 more answers

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

5 0

4 years ago

Read 2 more answers

With the ratio at 1:1, Point C appears to be the midpoint. Use the midpoint formula to ascertain (make sure of) whether Point C

Mila [183]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete because the coordinates of A, B and C were not given in the question.

However, the following explanation will guide you...

The midpoints, C of two point A and B is calculated as:

$C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})$

Where $(x_1, y_1)$ are the coordinates of A

and

$(x_2,y_2)$ are the coordinates of B

Take for instance, the given coordinates are

A(4,6); B(2,4) and C(3,5)

Then;

Plug in these values in the given formula:

$C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})$

$(3,5) = (\frac{4 + 2}{2}, \frac{6 + 4}{2})$

$(3,5) = (\frac{6}{2}, \frac{10}{2})$

$(3,5) = (3,5)$

In that case,

C is really the midpoint

To the b part: <em>Explaining why ratio 1:1 is used</em>

The reason is that both parts of the ratio are in equal proportion (1 and 1);

Because of this equal proportion, ration 1:1 is right to calculate the midpoint

4 0

3 years ago

S varies inversely as G. If S is 7 when G is 1.8, find S when G is 3.

kondor19780726 [428]

Answer:

see explanation

Step-by-step explanation:

Given that S varies inversely as G then the equation relating them is

S = $\frac{k}{G}$ ← k is the constant of variation

To find k use the condition S = 7 when G = 1.8, then

k = SG = 7 × 1.8 = 12.6

S = $\frac{12.6}{G}$ ← equation of variation

When G = 3, then

S = $\frac{12.6}{3}$ = 4.2

6 0

3 years ago

Read 2 more answers